Numerization of a memory effect for an homogenized composite material with a large contrast in the phase thermal conductivities. (November 2015)

• Record Type: Journal Article
• Authors: Dureisseix, David; Royer, Pascale; Faverjon, Béatrice
• Is Part Of: International journal of heat and mass transfer. Volume 90(2015:Nov.)
• Page Start: 140
• Page End: 148
• Publication Date: 2015-11
• Subjects: Computational material -- Asymptotic expansion -- 2-Field model -- Periodic media -- Thermal conduction problems; Heat -- Transmission -- Periodicals; Mass transfer -- Periodicals; Chaleur -- Transmission -- Périodiques; Transfert de masse -- Périodiques; Electronic journals; 621.4022
• DOI: 10.1016/j.ijheatmasstransfer.2015.06.048
• Languages: English
• ISSNs: 0017-9310

Abstract

Highlights: A numerical solution method is proposed to derive homogenized material parameters. Focus is on the memory effect function, a non standard emerging transient property. Suited finite element algorithms are proposed for an automatic determination. Approximate closed form solutions are proposed and validated on two numerical examples. Abstract: In this article, we propose a systematic numerical solution method for deriving the homogenized material parameters in the case where a large contrast in the phase thermal properties leads to a macroscopic memory effect. Focus is therefore set on the determination of this memory effect for a periodic microstructure. As for other and more classical homogenized parameters, the possibility of analyzing with the finite element method a single periodic cell is used, and a transient simulation allows to provide the incremental evolution of the memory effect function. Additionally, some approximations are proposed for a low cost estimate of this function, and validated on two examples.